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Simplifying (14x + -1(2 + -2x)) + -1(5x + -3 + -1(3 + -2x)) = 0 (14x + (2 * -1 + -2x * -1)) + -1(5x + -3 + -1(3 + -2x)) = 0 (14x + (-2 + 2x)) + -1(5x + -3 + -1(3 + -2x)) = 0 Reorder the terms: (-2 + 14x + 2x) + -1(5x + -3 + -1(3 + -2x)) = 0 Combine like terms: 14x + 2x = 16x (-2 + 16x) + -1(5x + -3 + -1(3 + -2x)) = 0 Remove parenthesis around (-2 + 16x) -2 + 16x + -1(5x + -3 + -1(3 + -2x)) = 0 -2 + 16x + -1(5x + -3 + (3 * -1 + -2x * -1)) = 0 -2 + 16x + -1(5x + -3 + (-3 + 2x)) = 0 Reorder the terms: -2 + 16x + -1(-3 + -3 + 5x + 2x) = 0 Combine like terms: -3 + -3 = -6 -2 + 16x + -1(-6 + 5x + 2x) = 0 Combine like terms: 5x + 2x = 7x -2 + 16x + -1(-6 + 7x) = 0 -2 + 16x + (-6 * -1 + 7x * -1) = 0 -2 + 16x + (6 + -7x) = 0 Reorder the terms: -2 + 6 + 16x + -7x = 0 Combine like terms: -2 + 6 = 4 4 + 16x + -7x = 0 Combine like terms: 16x + -7x = 9x 4 + 9x = 0 Solving 4 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 0 + -4 9x = 0 + -4 Combine like terms: 0 + -4 = -4 9x = -4 Divide each side by '9'. x = -0.4444444444 Simplifying x = -0.4444444444
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